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12156385536 = 283222972
BaseRepresentation
bin10110101001001001…
…11011100100000000
31011101012101100222100
423110210323210000
5144344013314121
65330133310400
7610150400151
oct132444734400
934335340870
1012156385536
115178a65419
122433195400
1311b968b049
148346c9928
154b2362026
hex2d493b900

12156385536 has 81 divisors (see below), whose sum is σ = 35065122001. Its totient is φ = 4050364416.

The previous prime is 12156385519. The next prime is 12156385543. The reversal of 12156385536 is 63558365121.

The square root of 12156385536 is 110256.

It is a perfect power (a square), and thus also a powerful number.

12156385536 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 638 + 5 + 5 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5715360000 + 6441025536 = 75600^2 + 80256^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12156385491 and 12156385500.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5291140 + ... + 5293436.

Almost surely, 212156385536 is an apocalyptic number.

12156385536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12156385536 is the 110256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12156385536

12156385536 is an abundant number, since it is smaller than the sum of its proper divisors (22908736465).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12156385536 is an frugal number, since it uses more digits than its factorization.

12156385536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4616 (or 2302 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The spelling of 12156385536 in words is "twelve billion, one hundred fifty-six million, three hundred eighty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2297 2304 4594 6891 9188 13782 18376 20673 27564 36752 41346 55128 73504 82692 110256 147008 165384 220512 294016 330768 441024 588032 661536 882048 1323072 1764096 2646144 5276209 5292288 10552418 15828627 21104836 31657254 42209672 47485881 63314508 84419344 94971762 126629016 168838688 189943524 253258032 337677376 379887048 506516064 675354752 759774096 1013032128 1350709504 1519548192 2026064256 3039096384 4052128512 6078192768 12156385536